SOLUTION: please help me solve these 3 equations use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 that is number 1 and numb

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: please help me solve these 3 equations use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 that is number 1 and numb      Log On


   

Question 465252: please help me solve these 3 equations use the rational root theorem to list the possible rational roots for each of the following equations f(x)=x^2+2x+1 that is number 1 and number 2 is f(x)=x^2-2x+5 and number 3 f(x)=x^2+4x-5 please and thank you
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Use the rational root theorem

IF f(x)=x^2+2x+1 = 0  Green

(x+1)(x+1)=0  |x = -1 is the single rational solution



IF f(x)=x^2-2x+5 = 0   Blue

(x-1)^2 + 4 =0 Completing the square

|x = 1 ± 2i  NO rational roots



IF f(x)=x^2+4x-5 = 0   Purple

(x+5)(x-1)= 0 

(x+5)= 0

   x = -5

(x-1)= 0  

   x = 1

x = -5 and x = 1 are the rational solutions